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Finding the Fourth Proportional to 73,994.60, 102,092.87 and 42,162.82

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Solution

The fourth proportional to 73,994.60, 102,092.87 and 42,162.82 is: 58,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,994.60 : 102,092.87 = 42,162.82 : x
  2. Step 2: Convert to fraction form
    73,994.60/102,092.87 = 42,162.82/x
  3. Step 3: Cross multiply
    73,994.60x = 102,092.87 × 42,162.82
  4. Step 4: Simplify right side
    73,994.60x = 4,304,522,579.81
  5. Step 5: Solve for x
    x = 4,304,522,579.81/73,994.60
  6. Step 6: Final answer
    x = 58,173.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.